101211112010111 has 2 divisors, whose sum is σ = 101211112010112. Its totient is φ = 101211112010110.

The previous prime is 101211112010081. The next prime is 101211112010143. The reversal of 101211112010111 is 111010211112101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101211112010111 - 2²⁶ = 101211044901247 is a prime.

It is a super-3 number, since 3×101211112010111³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101211112018111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605556005055 + 50605556005056.

It is an arithmetic number, because the mean of its divisors is an integer number (50605556005056).

Almost surely, 2^{101211112010111} is an apocalyptic number.

101211112010111 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211112010111 is an equidigital number, since it uses as much as digits as its factorization.

101211112010111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 101211112010111 its reverse (111010211112101), we get a palindrome (212221323122212).

The spelling of 101211112010111 in words is "one hundred one trillion, two hundred eleven billion, one hundred twelve million, ten thousand, one hundred eleven".